Answer:
(1, 2) and (- 1, - 2)
Step-by-step explanation:
Given the 2 equations
x² + y² = 5 → (1)
y = 2x → (2)
Substitute y = 2x into (1)
x² + (2x)² = 5, that is
x² + 4x² = 5
5x² = 5 ( divide both sides by 5 )
x² = 1 ( take the square root of both sides )
x = ± 
= ± 1
Substitute these values into (2) for corresponding values of y
x = 1 → y = 2(1) = 2 ⇒ (1, 2)
x = - 1 → y = 2(- 1) = - 2 ⇒ (- 1, - 2)
a. Recall that
For , we have
By integrating both sides, we get
If , then
so that
We can shift the index to simplify the sum slightly.
b. The power series for can be obtained simply by multiplying both sides of the series above by .
c. We have
Replace m with each number in the given set and solve for d(m)
m = 0
d(m) = 7-2(0) = 7-0 = 7
m=1
d(m) =7-2(1) = 7-2 = 5
m = 2
d(m) = 7-2(2) = 7-4 = 3
m=3
d(m) = 7-2(3) = 7-6 = 1
The answers in order from smallest to largest are 1, 3, 5,7
The correct answer would be F.
Answer:
Rational, integers, whole, natural, real
Step-by-step explanation:
109 is rational because it can be expressed as the ratio of two integers: 109:1
109 is integer because it can be written with no fractions
109 is a whole number because it has no decimals
109 is natural because it is an integer greater than 0
Hope this helps! ;)
